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Finding the Fourth Proportional to 31,894.97, 47,844.42 and 9,710.00

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Solution

The fourth proportional to 31,894.97, 47,844.42 and 9,710.00 is: 14,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.97 : 47,844.42 = 9,710.00 : x
  2. Step 2: Convert to fraction form
    31,894.97/47,844.42 = 9,710.00/x
  3. Step 3: Cross multiply
    31,894.97x = 47,844.42 × 9,710.00
  4. Step 4: Simplify right side
    31,894.97x = 464,569,030.43
  5. Step 5: Solve for x
    x = 464,569,030.43/31,894.97
  6. Step 6: Final answer
    x = 14,565.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.